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4696520640 = 26357317839
BaseRepresentation
bin1000101111110111…
…10011011111000000
3110010022022222010220
410113323303133000
534104302130030
62054010423040
7224245524000
oct42773633700
913108288126
104696520640
111aa0077519
12ab0a31a80
1359b0131c6
14327a64000
151c74aba10
hex117ef37c0

4696520640 has 448 divisors, whose sum is σ = 18434304000. Its totient is φ = 1009139712.

The previous prime is 4696520639. The next prime is 4696520687. The reversal of 4696520640 is 460256964.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×46965206402 = 44114612243892019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4696520592 and 4696520601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5597341 + ... + 5598179.

It is an arithmetic number, because the mean of its divisors is an integer number (41148000).

Almost surely, 24696520640 is an apocalyptic number.

4696520640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4696520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152000).

4696520640 is an abundant number, since it is smaller than the sum of its proper divisors (13737783360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4696520640 is a wasteful number, since it uses less digits than its factorization.

4696520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 4696520640 is about 68531.1654650641. The cubic root of 4696520640 is about 1674.6552363864.

The spelling of 4696520640 in words is "four billion, six hundred ninety-six million, five hundred twenty thousand, six hundred forty".